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20038518432 = 2532414736107
BaseRepresentation
bin10010101010011000…
…111000011010100000
31220201112000012121100
4102222120320122200
5312014330042212
613112222554400
71306400411352
oct225230703240
956645005540
1020038518432
118553248539
123a72a38a00
131b74672cca
14d814710d2
157c4328bdc
hex4aa6386a0

20038518432 has 144 divisors (see below), whose sum is σ = 59618063232. Its totient is φ = 6377763840.

The previous prime is 20038518431. The next prime is 20038518457. The reversal of 20038518432 is 23481583002.

20038518432 is a `hidden beast` number, since 200 + 3 + 8 + 5 + 18 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20038518431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536923 + ... + 573029.

It is an arithmetic number, because the mean of its divisors is an integer number (414014328).

Almost surely, 220038518432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20038518432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29809031616).

20038518432 is an abundant number, since it is smaller than the sum of its proper divisors (39579544800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20038518432 is a wasteful number, since it uses less digits than its factorization.

20038518432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36211 (or 36200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20038518432 in words is "twenty billion, thirty-eight million, five hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 47 48 72 82 94 96 123 141 144 164 188 246 282 288 328 369 376 423 492 564 656 738 752 846 984 1128 1312 1476 1504 1692 1927 1968 2256 2952 3384 3854 3936 4512 5781 5904 6768 7708 11562 11808 13536 15416 17343 23124 30832 34686 36107 46248 61664 69372 72214 92496 108321 138744 144428 184992 216642 277488 288856 324963 433284 554976 577712 649926 866568 1155424 1299852 1480387 1697029 1733136 2599704 2960774 3394058 3466272 4441161 5091087 5199408 5921548 6788116 8882322 10182174 10398816 11843096 13323483 13576232 15273261 17764644 20364348 23686192 26646966 27152464 30546522 35529288 40728696 47372384 53293932 54304928 61093044 69578189 71058576 81457392 106587864 122186088 139156378 142117152 162914784 208734567 213175728 244372176 278312756 417469134 426351456 488744352 556625512 626203701 834938268 1113251024 1252407402 1669876536 2226502048 2504814804 3339753072 5009629608 6679506144 10019259216 20038518432